Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950df |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2984509440000000 = 224 · 32 · 57 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40063,1614617] |
[a1,a2,a3,a4,a6] |
Generators |
[38:365:1] |
Generators of the group modulo torsion |
j |
455129268177961/191008604160 |
j-invariant |
L |
9.7308850069062 |
L(r)(E,1)/r! |
Ω |
0.40763493595233 |
Real period |
R |
0.99464865789087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850be1 7590g1 |
Quadratic twists by: -3 5 |